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Standard XII

Physics

Satellites

Two satellite...

Question

Two satellites of masses m1 and m2 (m1 > m2) are revolving round the earth in circular orbits of radii r1 and r2 (r1 > r2) respectively. Which of the following statements is true regarding their speeds v1 and v2 ?

v1 = v2

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v1 < v2

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v1 > v2

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(v1/r1) = (v2/r2)

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Solution

The correct option is A v1 < v2
We know that orbital velocity, v is given by $\sqrt{} (G M / r) .$ As orbital velocity is independent of mass of
body so orbital velocity, v is inversely proportional to $\sqrt{} r .$
So, the correct expression is $v_{2} > v_{1}$ as it given that $r_{1} > r_{2} .$

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Two satellites of masses m1 and m2 (m1 > m2) are revolving round the earth in circular orbits of radii r1 and r2 (r1 > r2) respectively. Which of the following statements is true regarding their speeds v1 and v2 ?

The correct option is A v1 < v2We know that orbital velocity, v is given by √(GM/r). As orbital velocity is independent of mass of body so orbital velocity, v is inversely proportional to √r.So, the correct expression is v2>v1 as it given that r1>r2.

The correct option is A v1 < v2
We know that orbital velocity, v is given by $\sqrt{} (G M / r) .$ As orbital velocity is independent of mass of
body so orbital velocity, v is inversely proportional to $\sqrt{} r .$
So, the correct expression is $v_{2} > v_{1}$ as it given that $r_{1} > r_{2} .$